4 papers · 1 filter
Maurer-Cartan characterization and cohomology of compatible LieDer and AssDer pairs
Basdouri Imed, Ghribi Salima, Sadraoui Mohamed Amin
A LieDer pair (respectively, an AssDer pair) is a Lie algebra equipped with a derivation (respectively, an associative algebra equipped with a derivation). A couple of LieDer pair…
On the Hom-Lie CoDer pairs
Asif Sania, Basdouri Imed, Sadraoui Mohamed Amin
The present research paper investigates the intricate fields of Hom-Lie algebra and Hom-Lie coalgebra, providing a complete analysis of their key concepts and important examples. P…
On compatible Lie and pre-Lie Yamaguti algebras
Asif Sania, Basdouri Imed, Sadraoui Mohamed Amin
This study aims to generalize the notion of compatible Lie algebras to the compatible Lie Yamaguti algebras. Along with describing the representation of the compatible Lie Yamaguti…
Cohomology of compatible BiHom-Lie algebras
Asif Sania, Basdouri Imed, Bouzid Mosbahi +1
This paper defines compatible BiHom-Lie algebras by twisting the compatible Lie algebras by two linear commuting maps. We show the characterization of compatible BiHom-Lie algebra…